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Finding the Third Proportional to 4,088,596,743,829 and 8,830,002,928,082

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Solution

The third proportional to 4,088,596,743,829 and 8,830,002,928,082 is: 19,069,856,137,711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088,596,743,829 : 8,830,002,928,082 = 8,830,002,928,082 : x
  2. Step 2: Convert to fraction form
    4,088,596,743,829/8,830,002,928,082 = 8,830,002,928,082/x
  3. Step 3: Cross multiply
    4,088,596,743,829x = 8,830,002,928,082 × 8,830,002,928,082
  4. Step 4: Simplify right side
    4,088,596,743,829x = 77,968,951,709,936,696,258,723,840
  5. Step 5: Solve for x
    x = 77,968,951,709,936,696,258,723,840/4,088,596,743,829
  6. Step 6: Final answer
    x = 19,069,856,137,711.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.